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A Fast GPU-Accelerated Mixed-Precision Strategy for Fully Nonlinear Water Wave Computations

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • S. L. Glimberg

    (Technical University of Denmark, Department of Informatics and Mathematical Modelling)

  • A. P. Engsig-Karup

    (Technical University of Denmark, Department of Informatics and Mathematical Modelling)

  • M. G. Madsen

    (Technical University of Denmark, Department of Informatics and Mathematical Modelling)

Abstract

We present performance results of a mixed-precision strategy developed to improve a recently developed massively parallel GPU-accelerated tool for fast and scalable simulation of unsteady fully nonlinear free surface water waves over uneven depths (Engsig-Karup et al., Int J Num Meth, 2011). The underlying wave model is based on a potential flow formulation, which requires efficient solution of a Laplace problem at large-scales. We report recent results on a new mixed-precision strategy for efficient iterative high-order accurate and scalable solution of the Laplace problem using a multigrid-preconditioned defect correction method. The improved strategy improves the performance by exploiting architectural features of modern GPUs for mixed precision computations and is tested in a recently developed generic library for fast prototyping of PDE solvers. The new wave tool is applicable to solve and analyze large-scale wave problems in coastal and offshore engineering.

Suggested Citation

  • S. L. Glimberg & A. P. Engsig-Karup & M. G. Madsen, 2013. "A Fast GPU-Accelerated Mixed-Precision Strategy for Fully Nonlinear Water Wave Computations," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 645-652, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_68
    DOI: 10.1007/978-3-642-33134-3_68
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